what is the algebraic rule if the scale is 1 in = 3/4 ft in dilating a rectangular garden

Question

learning dilation and confused on how to transfer scale drawings and get new coordinates

Answer 1

 

 

If 1 inch on paper relates to 3/4 feet (9 inches) in reality, there will always be a ratio of 1:9 between what is drawn on paper (1) and what appears in reality (9). For example, if the side of a rectangle is 2 inches on paper, the corresponding side is 18 inches (2*9) in reality.

 
You can use this equation to help you: 

         1 inch         =  a inches on paper

9 inches in reality     b inches in reality

 

Then, plug in what is given to you and solve for what you don't have. For example, if a rectangle has a length of 10 inches on paper,

 

1 = 10

9     b 

 

In order to get a numerator of 10 on the left side, we multiply the fraction by 10 on the top and bottom (remember you can always multiply a fraction by the same number on the top and bottom, because that process is the same as multiplying by 1). So, we get

 

10 = 10 This means that b is 90, or the actual
 90     b   length of the rectangle is 90 in (7.5 ft)